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Finding the Fourth Proportional to 438,540.84, 657,879.82 and 185,821.92

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Solution

The fourth proportional to 438,540.84, 657,879.82 and 185,821.92 is: 278,761.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,540.84 : 657,879.82 = 185,821.92 : x
  2. Step 2: Convert to fraction form
    438,540.84/657,879.82 = 185,821.92/x
  3. Step 3: Cross multiply
    438,540.84x = 657,879.82 × 185,821.92
  4. Step 4: Simplify right side
    438,540.84x = 122,248,491,281.65
  5. Step 5: Solve for x
    x = 122,248,491,281.65/438,540.84
  6. Step 6: Final answer
    x = 278,761.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.